4 citations · 4 across the 3 of their papers we have counts for
8 papers
The Demailly system for a direct sum of ample line bundles on Riemann surfaces
Vamsi Pritham Pingali
We prove that a system of equations introduced by Demailly (to attack a conjecture of Griffiths) has a smooth solution for a direct sum of ample line bundles on a Riemann surface.…
Stability of SGD: Tightness Analysis and Improved Bounds
Yikai Zhang, Wenjia Zhang, Sammy Bald +3
Stochastic Gradient Descent (SGD) based methods have been widely used for training large-scale machine learning models that also generalize well in practice. Several explanations h…
A note on Demailly's approach towards a conjecture of Griffiths
Vamsi Pritham Pingali
We prove that a "cushioned" Hermitian-Einstein-type equation proposed by Demailly in an approach towards a conjecture of Griffiths on the existence of a Griffiths positively curved…
On an asymptotic characterisation of Griffiths semipositivity
Apoorva Khare, Vamsi Pritham Pingali
We prove that certain possibly non-smooth Hermitian metrics are Griffiths-semipositively curved if and only if they satisfy an asymptotic extension property. This result answers a…
Gravitating vortices with positive curvature
Mario Garcia-Fernandez, Vamsi Pritham Pingali, Chengjian Yao
We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant . Our first main result builds on previous resul…
On coupled constant scalar curvature Kähler metrics
Ved V. Datar, Vamsi Pritham Pingali
We provide a moment map interpretation for the coupled Kähler-Einstein equations introduced by Hultgren and Witt Nyström, and in the process introduce a more general system of equa…